Come valuta cos ((2pi) / 3) cos(2π3)?

Risposta:

-1/212

Spiegazione:

The angle (2pi)/3" is in the 2nd quadrant "2π3 is in the 2nd quadrant
where the cos ratio has a negative value.

The related 'acute angle' to (2pi)/3 =( pi -(2pi)/3) = pi/3 2π3=(π2π3)=π3

rArr cos((2pi)/3) = - cos(pi/3) cos(2π3)=cos(π3)

and using the color(blue)" Exact value triangle" Exact value triangle

inserisci qui la fonte dell'immagine

cos((2pi)/3) = - cos(pi/3) = -1/2 cos(2π3)=cos(π3)=12

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